{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python for Finance"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Analyze Big Financial Data**\n",
    "\n",
    "O'Reilly (2014)\n",
    "\n",
    "Yves Hilpisch"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img style=\"border:0px solid grey;\" src=\"http://hilpisch.com/python_for_finance.png\" alt=\"Python for Finance\" width=\"30%\" align=\"left\" border=\"0\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Buy the book ** |\n",
    "<a href='http://shop.oreilly.com/product/0636920032441.do' target='_blank'>O'Reilly</a> |\n",
    "<a href='http://www.amazon.com/Yves-Hilpisch/e/B00JCYHHJM' target='_blank'>Amazon</a>\n",
    "\n",
    "**All book codes & IPYNBs** |\n",
    "<a href=\"http://oreilly.quant-platform.com\">http://oreilly.quant-platform.com</a>\n",
    "\n",
    "**The Python Quants GmbH** | <a href='http://pythonquants.com' target='_blank'>www.pythonquants.com</a>\n",
    "\n",
    "**Contact us** | <a href='mailto:analytics@pythonquants.com'>analytics@pythonquants.com</a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Principal Component Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "uuid": "a82b3a95-9ee0-4ac3-9601-16972b7728b0"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import pandas.io.data as web\n",
    "from sklearn.decomposition import KernelPCA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### DAX Index and its 30 Stocks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "uuid": "b5f51ac2-45b2-4a72-befd-27f38ef6f6d8"
   },
   "outputs": [],
   "source": [
    "symbols = ['ADS.DE', 'ALV.DE', 'BAS.DE', 'BAYN.DE', 'BEI.DE',\n",
    "           'BMW.DE', 'CBK.DE', 'CON.DE', 'DAI.DE', 'DB1.DE',\n",
    "           'DBK.DE', 'DPW.DE', 'DTE.DE', 'EOAN.DE', 'FME.DE',\n",
    "           'FRE.DE', 'HEI.DE', 'HEN3.DE', 'IFX.DE', 'LHA.DE',\n",
    "           'LIN.DE', 'LXS.DE', 'MRK.DE', 'MUV2.DE', 'RWE.DE',\n",
    "           'SAP.DE', 'SDF.DE', 'SIE.DE', 'TKA.DE', 'VOW3.DE',\n",
    "           '^GDAXI']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "uuid": "1556b1fa-99da-4122-8aa7-b9e06c069a21"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 208 ms, sys: 18 ms, total: 226 ms\n",
      "Wall time: 4.04 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "data = pd.DataFrame()\n",
    "for sym in symbols:\n",
    "    data[sym] = web.DataReader(sym, data_source='yahoo')['Close']\n",
    "data = data.dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "uuid": "b4813521-7846-4660-8391-770fea7c318f"
   },
   "outputs": [],
   "source": [
    "dax = pd.DataFrame(data.pop('^GDAXI'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "uuid": "03d4a81f-3bd8-47dd-a5b6-84f060fcdf97"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ADS.DE</th>\n",
       "      <th>ALV.DE</th>\n",
       "      <th>BAS.DE</th>\n",
       "      <th>BAYN.DE</th>\n",
       "      <th>BEI.DE</th>\n",
       "      <th>BMW.DE</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-04</th>\n",
       "      <td>38.505</td>\n",
       "      <td>88.54</td>\n",
       "      <td>44.850</td>\n",
       "      <td>56.40</td>\n",
       "      <td>46.445</td>\n",
       "      <td>32.050</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-05</th>\n",
       "      <td>39.720</td>\n",
       "      <td>88.81</td>\n",
       "      <td>44.170</td>\n",
       "      <td>55.37</td>\n",
       "      <td>46.200</td>\n",
       "      <td>32.310</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-06</th>\n",
       "      <td>39.400</td>\n",
       "      <td>89.50</td>\n",
       "      <td>44.450</td>\n",
       "      <td>55.02</td>\n",
       "      <td>46.165</td>\n",
       "      <td>32.810</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-07</th>\n",
       "      <td>39.745</td>\n",
       "      <td>88.47</td>\n",
       "      <td>44.155</td>\n",
       "      <td>54.30</td>\n",
       "      <td>45.700</td>\n",
       "      <td>33.100</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-08</th>\n",
       "      <td>39.600</td>\n",
       "      <td>87.99</td>\n",
       "      <td>44.020</td>\n",
       "      <td>53.82</td>\n",
       "      <td>44.380</td>\n",
       "      <td>32.655</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            ADS.DE  ALV.DE  BAS.DE  BAYN.DE  BEI.DE  BMW.DE\n",
       "Date                                                       \n",
       "2010-01-04  38.505   88.54  44.850    56.40  46.445  32.050\n",
       "2010-01-05  39.720   88.81  44.170    55.37  46.200  32.310\n",
       "2010-01-06  39.400   89.50  44.450    55.02  46.165  32.810\n",
       "2010-01-07  39.745   88.47  44.155    54.30  45.700  33.100\n",
       "2010-01-08  39.600   87.99  44.020    53.82  44.380  32.655"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[data.columns[:6]].head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Applying PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "uuid": "5ae896a2-8493-4d0c-978c-1b4f26ce2291"
   },
   "outputs": [],
   "source": [
    "scale_function = lambda x: (x - x.mean()) / x.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "uuid": "4503ea73-aa94-4187-b9c8-cbf00564bf7a"
   },
   "outputs": [],
   "source": [
    "pca = KernelPCA().fit(data.apply(scale_function))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "uuid": "e6f9ebd8-1d61-4047-a254-fe0e524f4c8f"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "684"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(pca.lambdas_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "uuid": "1694bb38-778a-403f-82af-0129fdd3a260"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 27664.,   6169.,   3244.,   2429.,   1058.,    549.,    321.,\n",
       "          274.,    176.,    149.])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.lambdas_[:10].round()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "uuid": "8c11b92d-c1ea-48dd-a47a-fb4d980b5f40"
   },
   "outputs": [],
   "source": [
    "get_we = lambda x: x / x.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "uuid": "b72fcfcb-d6f0-4101-a59b-c8df516154e8"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.64756879,  0.14441618,  0.07593786,  0.05686985,  0.02476258,\n",
       "        0.01285501,  0.00751753,  0.00642144,  0.00413127,  0.00348122])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "get_we(pca.lambdas_)[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "uuid": "d40695cd-b736-484d-bc11-4755eb1d3448"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.94955526112229649"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "get_we(pca.lambdas_)[:5].sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Constructing a PCA Index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "uuid": "b4691f51-fa25-48d1-855d-907136ee39a7"
   },
   "outputs": [],
   "source": [
    "pca = KernelPCA(n_components=1).fit(data.apply(scale_function))\n",
    "dax['PCA_1'] = pca.transform(-data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "uuid": "9addd109-7de2-4998-b2f0-11c72c3b98da"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f313564e390>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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OwNy5ag6snx/Y2cGSgJP4O/kzdvVYWiZMp0FtewBcXcHL0wwi6wBwPOI4s/fN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\nxhhjTID8P1EdHTWHBpDrAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3135639cd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "dax.apply(scale_function).plot(figsize=(8, 4))\n",
    "# tag: pca_1\n",
    "# title: German DAX index and PCA index with 1 component"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "uuid": "4b039aad-93a0-439b-b2d5-d24119604fa4"
   },
   "outputs": [],
   "source": [
    "pca = KernelPCA(n_components=5).fit(data.apply(scale_function))\n",
    "pca_components = pca.transform(-data)\n",
    "weights = get_we(pca.lambdas_)\n",
    "dax['PCA_5'] = np.dot(pca_components, weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "uuid": "fc7a90b6-167b-44dc-9a31-38d479be9026"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f3135604fd0>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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TKyxbxhGaI0eyX+WJE8Dwb/8Dyt9A+bJC6KZnE4AuaminZFK2rNLuq6HBTlah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\nkGRtSwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f313b730a50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "dax.apply(scale_function).plot(figsize=(8, 4))\n",
    "# tag: pca_2\n",
    "# title: German DAX index and PCA indices with 1 and 5 components"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "uuid": "ceb357ad-d98a-4618-8e73-a6dc77a80436"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 733776.,  733777.,  733778., ...,  735815.,  735816.,  735817.])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "mpl_dates = mpl.dates.date2num(data.index.to_pydatetime())\n",
    "mpl_dates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false,
    "uuid": "60ae390c-9534-4e57-bc1e-42e261d0abc9"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar instance at 0x7f313531a7e8>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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FpBiQoqo+EakErAYqqqo3p3vZlb4lZ155BbxeuOWWk9sPHIChQ6FBAxPu583x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\njEkQ/w9eX1mWd5kDAQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f31353f9890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.scatter(dax['PCA_5'], dax['^GDAXI'], c=mpl_dates)\n",
    "lin_reg = np.polyval(np.polyfit(dax['PCA_5'],\n",
    "                                dax['^GDAXI'], 1),\n",
    "                                dax['PCA_5'])\n",
    "plt.plot(dax['PCA_5'], lin_reg, 'r', lw=3)\n",
    "plt.grid(True)\n",
    "plt.xlabel('PCA_5')\n",
    "plt.ylabel('^GDAXI')\n",
    "plt.colorbar(ticks=mpl.dates.DayLocator(interval=250),\n",
    "                format=mpl.dates.DateFormatter('%d %b %y'))\n",
    "# tag: pca_3\n",
    "# title: DAX return values against PCA return values with linear regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "uuid": "2c9bea6f-bed0-49d0-83ad-a30c17b31922"
   },
   "outputs": [],
   "source": [
    "cut_date = '2011/7/1'\n",
    "early_pca = dax[dax.index < cut_date]['PCA_5']\n",
    "early_reg = np.polyval(np.polyfit(early_pca,\n",
    "                dax['^GDAXI'][dax.index < cut_date], 1),\n",
    "                early_pca)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false,
    "uuid": "0df5fdce-32ae-4b85-836d-91355f33bb90"
   },
   "outputs": [],
   "source": [
    "late_pca = dax[dax.index >= cut_date]['PCA_5']\n",
    "late_reg = np.polyval(np.polyfit(late_pca,\n",
    "                dax['^GDAXI'][dax.index >= cut_date], 1),\n",
    "                late_pca)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false,
    "uuid": "ad8b2336-b13f-49a2-92b9-3f7b340be327"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar instance at 0x7f31351987e8>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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7ynud76Zva94vBFJS4MUX4e23ITMzWx4dbQL+WrVCVVm8eDF///03rzzzDO6D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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f31352bcd50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.scatter(dax['PCA_5'], dax['^GDAXI'], c=mpl_dates)\n",
    "plt.plot(early_pca, early_reg, 'r', lw=3)\n",
    "plt.plot(late_pca, late_reg, 'r', lw=3)\n",
    "plt.grid(True)\n",
    "plt.xlabel('PCA_5')\n",
    "plt.ylabel('^GDAXI')\n",
    "plt.colorbar(ticks=mpl.dates.DayLocator(interval=250),\n",
    "                format=mpl.dates.DateFormatter('%d %b %y'))\n",
    "# tag: pca_7\n",
    "# title: DAX index values against PCA index values with early and late regression (regime switch)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bayesian Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bayes' Formula"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PyMC3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false,
    "uuid": "72026681-577f-49e6-abe0-f5554e39fa06"
   },
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.simplefilter('ignore')\n",
    "import pymc as pm\n",
    "import numpy as np\n",
    "np.random.seed(1000)\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Introductory Example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false,
    "uuid": "4b612fde-e947-4a33-a275-6202d7ded7bb"
   },
   "outputs": [],
   "source": [
    "x = np.linspace(0, 10, 500)\n",
    "y = 4 + 2 * x + np.random.standard_normal(len(x)) * 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false,
    "uuid": "ad9f9a77-ffb5-4eed-a79b-bd2ea33ae0e2"
   },
   "outputs": [],
   "source": [
    "reg = np.polyfit(x, y, 1)\n",
    "  # linear regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false,
    "uuid": "4f6cbf6d-06ce-4f8d-a7a7-1209004b686a"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f313232e390>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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8bNmx55HU//aAQRTJ/yn9isLwfa68/c67WCwWnn76aXL5e/Nl9RgqB0PXjXrm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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f313238c250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.scatter(x, y, c=y, marker='v')\n",
    "plt.plot(x, reg[1] + reg[0] * x, lw=2.0)\n",
    "plt.colorbar()\n",
    "plt.grid(True)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "# tag: pm_fig_0\n",
    "# title: Sample data points a regresion line\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false,
    "uuid": "5903887a-2a6b-4dce-89f1-9de9be686ef4"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 2.03384161,  3.77649234])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false,
    "uuid": "46936559-a438-475e-bd5b-f669abed06e2"
   },
   "outputs": [],
   "source": [
    "with pm.Model() as model: \n",
    "        # model specifications in PyMC3\n",
    "        # are wrapped in a with-statement\n",
    "    # define priors\n",
    "    alpha = pm.Normal('alpha', mu=0, sd=20)\n",
    "    beta = pm.Normal('beta', mu=0, sd=20)\n",
    "    sigma = pm.Uniform('sigma', lower=0, upper=10)\n",
    "    \n",
    "    # define linear regression\n",
    "    y_est = alpha + beta * x\n",
    "    \n",
    "    # define likelihood\n",
    "    likelihood = pm.Normal('y', mu=y_est, sd=sigma, observed=y)\n",
    "    \n",
    "    # inference\n",
    "    start = pm.find_MAP()\n",
    "      # find starting value by optimization\n",
    "    step = pm.NUTS(state=start)\n",
    "      # instantiate MCMC sampling algorithm\n",
    "    trace = pm.sample(100, step, start=start, progressbar=False)\n",
    "      # draw 100 posterior samples using NUTS sampling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false,
    "uuid": "e06c4eed-10d4-4d4c-aea0-4e4164f4d7f5"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'alpha': 3.8518992309241935,\n",
       " 'beta': 2.0310991967010361,\n",
       " 'sigma': 2.0673693565880482}"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trace[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false,
    "uuid": "c172bd48-8b11-4128-9e97-f20ce835d319"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f313237ae50>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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JNFkbNkSvyYKuE2Fw0SKLypjKZzisyWC24dsDUmlH3nzTtmOPza2ABanNBdes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YAAAg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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f313237acd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f313237ae50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = pm.traceplot(trace, lines={'alpha': 4, 'beta': 2, 'sigma': 2})\n",
    "plt.figure(figsize=(8, 8))\n",
    "# tag: pm_fig_1\n",
    "# title: Trace plots for alpha, beta and sigma\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false,
    "uuid": "99e44b63-168c-415a-be8f-9347f45578aa"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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bXABIt9tJsgtx8fGICIFeXpCeTj4N7MAZATdNwwaMFGGAiwuRe/cSHn7v/rfo6GieKlyY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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f311f1fab10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.scatter(x, y, c=y, marker='v')\n",
    "plt.colorbar()\n",
    "plt.grid(True)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "for i in range(len(trace)):\n",
    "    plt.plot(x, trace['alpha'][i] + trace['beta'][i] * x)\n",
    "# tag: pm_fig_2\n",
    "# title: Sample data and regression lines from Bayesian regression\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Real Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false,
    "uuid": "0562fc9b-01c8-4eae-8e57-959a6e551610"
   },
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.simplefilter('ignore')\n",
    "import zipline\n",
    "import pytz\n",
    "import datetime as dt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false,
    "uuid": "a3774b4d-09a8-47ce-a56e-aac894334dbd"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "GLD\n",
      "GDX\n",
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 1967 entries, 2006-05-22 to 2014-03-14\n",
      "Data columns (total 2 columns):\n",
      "GDX    1967 non-null float64\n",
      "GLD    1967 non-null float64\n",
      "dtypes: float64(2)\n",
      "memory usage: 46.1 KB\n"
     ]
    }
   ],
   "source": [
    "data = zipline.data.load_from_yahoo(stocks=['GLD', 'GDX'], \n",
    "         end=dt.datetime(2014, 3, 15, 0, 0, 0, 0, pytz.utc)).dropna()\n",
    "data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false,
    "uuid": "07c6dea4-fd4f-496c-86f2-e92689797fe8"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f311d529a10>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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SpEm0bNmS2bNnM3HiRCZOnGg8pnXr1mzatAmARo0aoWkadnZ2NG7cmClTpvD0008X1+UI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\nU9+m1Jqqd4Byd3Dn2JBjFsvRNM04j62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ff5y5e8eFnDLE27dbPKK6M4JMm2YJLtXpw7ds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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f311d529450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.plot(figsize=(8, 4))\n",
    "# tag: zip_fig_1\n",
    "# title: Co-movements of traiding pair\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false,
    "uuid": "8b467729-65d9-4579-8b4c-944fb18bee4c"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "GDX   -0.216002\n",
       "GLD    1.038285\n",
       "dtype: float64"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.ix[-1] / data.ix[0] - 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false,
    "uuid": "ed244e7b-692f-4e14-b642-80ceccf221b2"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>GDX</th>\n",
       "      <th>GLD</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>GDX</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.466962</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GLD</th>\n",
       "      <td>0.466962</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          GDX       GLD\n",
       "GDX  1.000000  0.466962\n",
       "GLD  0.466962  1.000000"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false,
    "uuid": "a92a57dd-76c4-4e8b-ab75-8523fbb49435"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DatetimeIndex(['2006-05-22', '2006-05-23', '2006-05-24', '2006-05-25',\n",
       "               '2006-05-26', '2006-05-30', '2006-05-31', '2006-06-01',\n",
       "               '2006-06-02', '2006-06-05', \n",
       "               ...\n",
       "               '2014-03-03', '2014-03-04', '2014-03-05', '2014-03-06',\n",
       "               '2014-03-07', '2014-03-10', '2014-03-11', '2014-03-12',\n",
       "               '2014-03-13', '2014-03-14'],\n",
       "              dtype='datetime64[ns]', name=u'Date', length=1967, freq=None, tz='UTC')"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false,
    "uuid": "facf1920-22f9-4300-90ed-39f79d9b024c"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 732453.,  732454.,  732455., ...,  735304.,  735305.,  735306.])"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "mpl_dates = mpl.dates.date2num(data.index.to_pydatetime())\n",
    "mpl_dates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false,
    "uuid": "f73eecbd-a135-4448-a5d4-8caa6259039e"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar instance at 0x7f311d1316c8>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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8eJGVbzSiTp069/ldtEPsPAj/r9ATuRRgHuY9lO8Fe9L3ful66NAhnh/4HNu2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0RkAjCh5Frk4b/GiRMnOHz4MKVLlyYmJua6eae++irPvf0OecOfgdTTfN2tG76+vpx/axquHg/B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\n8n+oYMD+qCSxlgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f311d2066d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.scatter(data['GDX'], data['GLD'], c=mpl_dates, marker='o')\n",
    "plt.grid(True)\n",
    "plt.xlabel('GDX')\n",
    "plt.ylabel('GLD')\n",
    "plt.colorbar(ticks=mpl.dates.DayLocator(interval=250),\n",
    "             format=mpl.dates.DateFormatter('%d %b %y'))\n",
    "# tag: zip_fig_2\n",
    "# title: Scatter plot of prices for GLD and GDX\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false,
    "uuid": "0cf4e75d-b4ea-4822-9e25-8c837fe6049d"
   },
   "outputs": [],
   "source": [
    "with pm.Model() as model:\n",
    "    alpha = pm.Normal('alpha', mu=0, sd=20)\n",
    "    beta = pm.Normal('beta', mu=0, sd=20)\n",
    "    sigma = pm.Uniform('sigma', lower=0, upper=50)\n",
    "    \n",
    "    y_est = alpha + beta * data['GDX'].values\n",
    "    \n",
    "    likelihood = pm.Normal('GLD', mu=y_est, sd=sigma,\n",
    "                           observed=data['GLD'].values)\n",
    "    \n",
    "    start = pm.find_MAP()\n",
    "    step = pm.NUTS(state=start)\n",
    "    trace = pm.sample(100, step, start=start, progressbar=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false,
    "uuid": "1a64e594-4985-4413-b4b6-c8400691fbc2"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f311f221a10>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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VYTCTXClbAFNE5G0g5iWqsWr3rZDP3FbGx44aNYqBAwcCUFtby5AhQzbEL8Rm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\nOBzYJ9VOIvIgMBnYR0QWiMiXRORqEbk6brNzgWdUdcsgoapuAq7BXOB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cItNsXsFx/znnBdVdcCPwUeBGqw5OTHc/ZtHMdxnLaKP68cJ08UrBixiIwBrgfKgdtV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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f311d1ab350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f311f221a10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = pm.traceplot(trace)\n",
    "plt.figure(figsize=(8, 8))\n",
    "# tag: zip_fig_3\n",
    "# title: Trace plots for alpha, beta and sigma based on GDX and GLD data\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false,
    "uuid": "cd213b2f-72e3-4afb-8be3-60e61e94c7c6"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar instance at 0x7f311727b3b0>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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atWuseq82VapUecKfYh4kjwfh/xV6IpdczLO8h/LjkJf0fVK6Hj16lD4932Dn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\ntFAKeERERAv9B73N8JNExAScAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3117596350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.scatter(data['GDX'], data['GLD'], c=mpl_dates, marker='o')\n",
    "plt.grid(True)\n",
    "plt.xlabel('GDX')\n",
    "plt.ylabel('GLD')\n",
    "for i in range(len(trace)):\n",
    "    plt.plot(data['GDX'], trace['alpha'][i] + trace['beta'][i] * data['GDX'])\n",
    "plt.colorbar(ticks=mpl.dates.DayLocator(interval=250),\n",
    "             format=mpl.dates.DateFormatter('%d %b %y'))\n",
    "# tag: zip_fig_4\n",
    "# title: Scatter plot with \"simple\" regression lines\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false,
    "uuid": "88129af4-b234-4399-abe8-dfd7f7d76542"
   },
   "outputs": [],
   "source": [
    "model_randomwalk = pm.Model()\n",
    "with model_randomwalk:\n",
    "    # std of random walk best sampled in log space\n",
    "    sigma_alpha, log_sigma_alpha = \\\n",
    "            model_randomwalk.TransformedVar('sigma_alpha', \n",
    "                            pm.Exponential.dist(1. / .02, testval=.1), \n",
    "                            pm.logtransform)\n",
    "    sigma_beta, log_sigma_beta = \\\n",
    "            model_randomwalk.TransformedVar('sigma_beta', \n",
    "                            pm.Exponential.dist(1. / .02, testval=.1),\n",
    "                            pm.logtransform)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false,
    "uuid": "3a778dc5-5c8b-492e-9e15-774b858a42c2"
   },
   "outputs": [],
   "source": [
    "from pymc.distributions.timeseries import GaussianRandomWalk\n",
    "# to make the model more simple, we will apply the same coefficients\n",
    "# to 50 data points at a time\n",
    "subsample_alpha = 50\n",
    "subsample_beta = 50\n",
    "\n",
    "with model_randomwalk:\n",
    "    alpha = GaussianRandomWalk('alpha', sigma_alpha**-2, \n",
    "                               shape=len(data) / subsample_alpha)\n",
    "    beta = GaussianRandomWalk('beta', sigma_beta**-2, \n",
    "                              shape=len(data) / subsample_beta)\n",
    "    \n",
    "    # make coefficients have the same length as prices\n",
    "    alpha_r = np.repeat(alpha, subsample_alpha)\n",
    "    beta_r = np.repeat(beta, subsample_beta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false,
    "uuid": "49d957bb-a262-4c57-bc6a-dfb8406a5b1b"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1967"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(data.dropna().GDX.values)  # a bit longer than 1,950"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false,
    "uuid": "b3321856-0fca-4ab7-a989-0c92c1b2d9d1"
   },
   "outputs": [],
   "source": [
    "with model_randomwalk:\n",
    "    # define regression\n",
    "    regression = alpha_r + beta_r * data.GDX.values[:1950]\n",
    "    \n",
    "    # assume prices are normally distributed,\n",
    "    # the mean comes from the regression\n",
    "    sd = pm.Uniform('sd', 0, 20)\n",
    "    likelihood = pm.Normal('GLD', \n",
    "                           mu=regression, \n",
    "                           sd=sd, \n",
    "                           observed=data.GLD.values[:1950])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false,
    "uuid": "bd60e4ab-f384-4f8e-9e25-71b9c7ae426c"
   },
   "outputs": [],
   "source": [
    "import scipy.optimize as sco\n",
    "with model_randomwalk:\n",
    "    # first optimize random walk\n",
    "    start = pm.find_MAP(vars=[alpha, beta], fmin=sco.fmin_l_bfgs_b)\n",
    "    \n",
    "    # sampling\n",
    "    step = pm.NUTS(scaling=start)\n",
    "    trace_rw = pm.sample(100, step, start=start, progressbar=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false,
    "uuid": "360bff30-a524-413d-b348-1ad82d712236"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 39)"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.shape(trace_rw['alpha'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false,
    "uuid": "365a04de-c0f1-400c-871f-ec7ea58206f2"
   },
   "outputs": [],
   "source": [
    "part_dates = np.linspace(min(mpl_dates), max(mpl_dates), 39)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false,
    "uuid": "c0e08130-d0e5-4bd5-ac38-db50ebb345d6"
   },
   "outputs": [
    {
     "data": {
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5cqT6yLg45kTmzs3Ka5cmwpw8icTYBHy7qCI2bgTmdVyA3InhfG8/wN9D0v4u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14Anjxh0Wfseo6O5oxoHx8gLg6YNIkXD3vs6yEhwGuvGcyWEyYAX3+dIc8kCIIgZF1c3SUtglGw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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3106e21c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots(figsize=(10, 5))\n",
    "plt.plot(part_dates, np.mean(trace_rw['alpha'], axis=0),\n",
    "         'b', lw=2.5, label='alpha')\n",
    "for i in range(45, 55):\n",
    "    plt.plot(part_dates, trace_rw['alpha'][i], 'b-.', lw=0.75)\n",
    "plt.xlabel('date')\n",
    "plt.ylabel('alpha')\n",
    "plt.axis('tight')\n",
    "plt.grid(True)\n",
    "plt.legend(loc=2)\n",
    "ax1.xaxis.set_major_formatter(mpl.dates.DateFormatter('%d %b %y') )\n",
    "ax2 = ax1.twinx()\n",
    "plt.plot(part_dates, np.mean(trace_rw['beta'], axis=0),\n",
    "         'r', lw=2.5, label='beta')\n",
    "for i in range(45, 55):\n",
    "    plt.plot(part_dates, trace_rw['beta'][i], 'r-.', lw=0.75)\n",
    "plt.ylabel('beta')\n",
    "plt.legend(loc=4)\n",
    "fig.autofmt_xdate()\n",
    "# tag: zip_fig_5\n",
    "# title: Evolution of (mean) alpha and (mean) beta over time (updated estimates over time)\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false,
    "uuid": "92d091ea-e27c-4de9-bd69-3baa59f1eeee"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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mG/M0cBdgAR6WUqa01vwURVGUNiQlnMmCdzdTk/Q1hswsDNKDqvIq/KfPpHNsLL2KCxAp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Claf5M5+dhPiBLQSnJd0PQl2Ad2O03xoyGyu3vunHcp6NPBVqo5TfrGmNOUc0BPU8qxr60XJEQE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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3106dca690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 5))\n",
    "plt.scatter(data['GDX'], data['GLD'], c=mpl_dates, marker='o')\n",
    "plt.colorbar(ticks=mpl.dates.DayLocator(interval=250),\n",
    "             format=mpl.dates.DateFormatter('%d %b %y'))\n",
    "plt.grid(True)\n",
    "plt.xlabel('GDX')\n",
    "plt.ylabel('GLD')\n",
    "x = np.linspace(min(data['GDX']), max(data['GDX'])) \n",
    "for i in range(39):\n",
    "    alpha_rw = np.mean(trace_rw['alpha'].T[i])\n",
    "    beta_rw = np.mean(trace_rw['beta'].T[i]) \n",
    "    plt.plot(x, alpha_rw + beta_rw * x, color=plt.cm.jet(256 * i / 39))\n",
    "# tag: zip_fig_6\n",
    "# title: Scatter plot with time-dependent regression lines (updated estimates)\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Further Reading"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://www.pythonquants.com\" target=\"_blank\">www.pythonquants.com</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a>\n",
    "\n",
    "<a href=\"mailto:analytics@pythonquants.com\">analytics@pythonquants.com</a>\n",
    "\n",
    "**Python Quant Platform** |\n",
    "<a href=\"http://oreilly.quant-platform.com\">http://oreilly.quant-platform.com</a>\n",
    "\n",
    "**Derivatives Analytics with Python** |\n",
    "<a href=\"http://www.derivatives-analytics-with-python.com\" target=\"_blank\">Derivatives Analytics @ Wiley Finance</a>\n",
    "\n",
    "**Python for Finance** |\n",
    "<a href=\"http://shop.oreilly.com/product/0636920032441.do\" target=\"_blank\">Python for Finance @ O'Reilly</a>"
   ]
  }
 ],
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   "display_name": "Python 2",
   "language": "python2",
   "name": "python2"
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    "name": "ipython",
    "version": 2
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
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